If A and B are invertible matrices, then which of the following is not

1.	If A and B are invertible matrices, then which of the following is not correct? (a) adj A=\|A\|.A−1 (b) det (A)−1=[det (A)]−1 (c) (AB)−1=B−1A−1 (d) (A+B)−1=B−1+A−1
Answer» If A and B are invertible matrices, then which of the following is not correct? (a) $a d j A = \| A \| . A^{- 1}$ (b) $d e t (A)^{- 1} = [d e t (A)]^{- 1}$ (c) $(A B)^{- 1} = B^{- 1} A^{- 1}$ (d) $(A + B)^{- 1} = B^{- 1} + A^{- 1}$

If A and B are invertible matrices, then which of the following is not correct? (a) adj A=|A|.A−1 (b) det (A)−1=[det (A)]−1 (c) (AB)−1=B−1A−1 (d) (A+B)−1=B−1+A−1

Answer»

If A and B are invertible matrices, then which of the following is not correct?

(a) $a d j A = | A | . A^{- 1}$
(b) $d e t (A)^{- 1} = [d e t (A)]^{- 1}$
(c) $(A B)^{- 1} = B^{- 1} A^{- 1}$
(d) $(A + B)^{- 1} = B^{- 1} + A^{- 1}$